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Finding the Fourth Proportional to 419,974.09, 630,256.39 and 379,820.77

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Solution

The fourth proportional to 419,974.09, 630,256.39 and 379,820.77 is: 569,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,974.09 : 630,256.39 = 379,820.77 : x
  2. Step 2: Convert to fraction form
    419,974.09/630,256.39 = 379,820.77/x
  3. Step 3: Cross multiply
    419,974.09x = 630,256.39 × 379,820.77
  4. Step 4: Simplify right side
    419,974.09x = 239,384,464,822.03
  5. Step 5: Solve for x
    x = 239,384,464,822.03/419,974.09
  6. Step 6: Final answer
    x = 569,998.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.